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## Copyright (C) 2024 David Legland
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
##
## The views and conclusions contained in the software and documentation are
## those of the authors and should not be interpreted as representing official
## policies, either expressed or implied, of the copyright holders.
function line = medianLine(varargin)
%MEDIANLINE Create a median line between two points.
%
% L = medianLine(P1, P2);
% Create the median line of points P1 and P2, that is the line containing
% all points located at equal distance of P1 and P2.
%
% L = medianLine(PTS);
% Creates the median line of 2 points, given as a 2*2 array. Array has
% the form:
% [ [ x1 y1 ] ; [ x2 y2 ] ]
%
% L = medianLine(EDGE);
% Creates the median of the edge. Edge is a 1*4 array, containing [X1 Y1]
% coordinates of first point, and [X2 Y2], the coordinates of the second
% point.
%
% Example
% % Draw the median line of two points
% P1 = [10 20];
% P2 = [30 50];
% med = medianLine(P1, P2);
% figure; axis square; axis([0 100 0 100]);
% drawEdge([P1 P2], 'linewidth', 2, 'color', 'k');
% drawLine(med)
%
% % Draw the median line of an edge
% P1 = [50 60];
% P2 = [80 30];
% edge = createEdge(P1, P2);
% figure; axis square; axis([0 100 0 100]);
% drawEdge(edge, 'linewidth', 2)
% med = medianLine(edge);
% drawLine(med)
%
%
% See also
% lines2d, createLine, orthogonalLine
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2003-10-31
% Copyright 2003-2023 INRA - TPV URPOI - BIA IMASTE
nargs = length(varargin);
if nargs == 1
tab = varargin{1};
if size(tab, 2)==2
% input is an array of two points
x0 = tab(1,1);
y0 = tab(1,2);
dx = tab(2,1)-x0;
dy = tab(2,2)-y0;
else
% input is an edge
x0 = tab(:, 1);
y0 = tab(:, 2);
dx = tab(:, 3) - tab(:, 1);
dy = tab(:, 4) - tab(:, 2);
end
elseif nargs==2
% input is given as two points, or two point arrays
p1 = varargin{1};
p2 = varargin{2};
x0 = p1(:, 1);
y0 = p1(:, 2);
dx = bsxfun(@minus, p2(:, 1), x0);
dy = bsxfun(@minus, p2(:, 2), y0);
else
error('Too many input arguments');
end
% compute median using middle point of the edge, and the direction vector
% rotated by 90 degrees counter-clockwise
line = [bsxfun(@plus, x0, dx/2), bsxfun(@plus, y0, dy/2), -dy, dx];
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